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Integration by substitution
1. Compute each indefinite integral.
(c) ∫x2(x3−2)7dx solution
(h)∫(t−2)√3t2−12tdt Solution
2. Find the indefinite integral.
(ii) ∫x2−4x3−12x+6dx solution
(iii) ∫x8√x9−7dx solution
(iv) ∫e5x2+e5xdx solution
3. Compute the following definite integral.
- ∫1−1x(x2+1)2dx Solution
- ∫10x√5x2+4dx Solution
- ∫21x(x2+3)2dx Solution
- ∫10x+2√x2+4xdx Solution
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∫40e√x√xdx Solution